# Trigonometry Part 3: Advance math series 2000 most important questions.

Trigonometry Part 3: Advance math series 2000 most important questions.

Q81. If a=sin π/4, b=cos π/4 and c=-cosec π/4 then the value of a3+ b3 + c3 is

(a) 3√2/2

(b) 1

(c) 0

(d) -3√2/2

Q82. sinθ=0.6 then the value of (tanθ + cosθ) is

(a) 1.55

(b) 0.96

(c) 1.70

(d) 0.64

Q83. An angle is 3π/5 radian. What will be its measurement in degree

(a) 145°

(b) 72°

(c) 108°

(d) 120°

Q84. In a triangle if a = 4, b = 3 and sin A = 4/3 then the value of ∠B is

(a) 60°

(b) 90°

(c) 30°

(d) 45°

Q85. cos 1°.cos 2°.cos 3°…………..cos 90° is equals to

(a) – 1

(b) 0

(c) 1

(d) a

Q86. The value of  sin30° + tan45° – cos60° is

(a) 0.5

(b) 2

(c) 1

(d) – 0.5

Q87. If sec2 θ + tan2 θ= 5/3 and 0≤θ≤π/2 then the value of θ equals to

(a) 15°

(b) 30°

(c) 45°

(d) 60°

Q88. If sinθ=5/13 and θ is an acute angle then the value of  is

(a) 13/12

(b) 5/13

(c) 13/5

(d) 12/13

Q89. The value of (tan A+ secA + 1) cos A is

(a) 1 + sin A

(b) (1 + sinA)(tanA – secA + 1)

(c) 1-sin A

(d) None of these

Q90. The value of tan20°.tan40°.tan60°.tan80° is

(a) 2

(b) 3

(c) 1

(d) 1/2

Q91. The value of cos20°.cos40°.cos60°.cos80° is

(a) 1/16

(b) 16

(c) 8

(d) 1/2

Q92. The value of tan1°.tan2°.tan3°.tan4°……………… tan80° is

(a) ∞

(b) 0

(c) 1

(d) 1/2

Q93. Angle of elevation of top of a building from a point on earth is 30°. After walking 30 m towards the building, the angle of elevation of top of the building becomes 60. What is the height of the building?

(a) 10 √3 m

(b) 15 √3 m

(c) 10 m

(d) 15 m

Q94. The angle of elevation of top of a tower from a point P on a plane field is 30°. If the height of the tower is 100m, then the distance of point P from the bottom of the tower will be

(a) 200 m

(b) 173 m

(c) 156 m

(d) 149 m

Q95.  is equal to

(a) 3                                       ‘

(b) 4

(c) √3/4

(d) None of these

Q96. In a triangle, sides are in A.P. and biggest angle is twice of smallest, then the ratio of sides are

(a) 3 : 4 : 5

(b) 4 : 5 : 6

(c) 2 : 4 : 5

(d) 7 : 8 : 9

Q97. The value of sin10°.sin20°.sin50°.sin70° is

(a) 8

(b) 1/16

(c) 16

(d) 1/2

Q98. tan 31°.tan 32°.tan 33°………..tan 59° is equals to

(a) – 1

(b) 0

(c) 1

(d) 2

Q99.  is equals to

(a) 49/12

(b) 7/3

(c) 14/9

(d) 4/3

Q100. The value of cos 52° +cos 68°+cos 72° is

(a) 0

(b) 1

(c) – 1

(d) –1/2

Q101. The value of sin 10° +sin 20° +sin 30°+———+ sin 360° is

(a) 0

(b) 1/2

(c) 1

(d) 2

Q102.

(a)

(b)

(c)

(d)

Q103. if tan θ = 1/2 and tan Ø = 1/3 then the value of θ + Ø is

(a)  π

(b) 0

(c) π/4

(d) π

Q104. Maximum and minimum value of 7 cos θ + 24 sin θ is

(a) 7and – 7

(b) 25 and -25

(c) 24 and -24

(d) 5 and – 5

Q105. The value of  will be

(a)

(b)

(c)

(d)

Q106.  is equals to

(a) cosec x + cot x

(b) cosec x + tan x

(c) sec x + tan x

(d) sec x + cot x

Q107. If then what will be the value A + 2B

(a) π/2

(b) π/3

(c) π/4

(d) π/6

Q108.  is equals to

(a) 2 cosec2 θ

(b) 2 cos2 θ

(c) 2 cotθ

(d) 2 sec2θ

Q109. Expression  is equals to

(a) 2 sinθ

(b) 2 cosθ

(c) sin 2θ

(d) cos 2θ

Q110. If   then the value of x is

(a) 10°

(b) 15°

(c) 30°

(d) 45°

Q111. The value of  is

(a) 5/2

(b) 7/6

(c)  13/6

(d) 19/6

Q112. If   then the value of   is

(a) –  53 /10

(b)  7/10

(c)   23/10

(d)  37/10

Q113. If  is

(a) 1

(b) – 1

(c) 0

(d) 2

Q114. If   then the value of   is

(a) a

(b)

(c) 3a

(d) 2a

Q115. If x = 7 cosθ and  y = 9 sinθ  then  is

(a) 49

(b) 81

(c) 1

(d) 0

Q116.

(a) 2

(b) 1

(c) 3

(d) 0

Q117.

(a)

(b)

(c)

(d)

Q118. If  then  is equal to

(a) 1/2 cosθ

(b) cosθ

(c) 2 cos 3θ

(d) 3 cos 3θ

Q119. If  then the value of x is

(a) 30°

(b) 45°

(c) 60°

(d) 90°

Q120. If a2 + b2 + c2 + ab + bc + ca, then the value of a3 + b3 + c3 is

(a)

(b)

(c)

(d)

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